Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2088, 2093 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2088 and 2093 is 1.
GCF(2088,2093) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2088
2 | 2088 |
2 | 1044 |
2 | 522 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 2088 are 2,3,29. Prime factorization of 2088 in exponential form is:
2088 = 23×32×291
Prime Factorization of 2093
7 | 2093 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 2093 are 7,13,23. Prime factorization of 2093 in exponential form is:
2093 = 71×131×231
∴ So by taking common prime factors GCF of 2088 and 2093 is 1
Factors of 2088
List of positive integer factors of 2088 that divides 2088 without a remainder.
1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088
Factors of 2093
List of positive integer factors of 2093 that divides 2093 without a remainder.
1,7,13,23,91,161,299,2093
Greatest Common Factor
We found the factors and prime factorization of 2088 and 2093. The biggest common factor number is the GCF number.
So the greatest common factor 2088 and 2093 is 1.
Also check out the Least Common Multiple of 2088 and 2093
(i) The GCF of 2088 and 2093 is associative
GCF of 2088 and 2093 = GCF of 2093 and 2088
1. What is the GCF of 2088 and 2093?
Answer: GCF of 2088 and 2093 is 1.
2. What are the Factors of 2088?
Answer: Factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088. There are 24 integers that are factors of 2088. The greatest factor of 2088 is 2088.
3. What are the Factors of 2093?
Answer: Factors of 2093 are 1, 7, 13, 23, 91, 161, 299, 2093. There are 8 integers that are factors of 2093. The greatest factor of 2093 is 2093.
4. How to Find the GCF of 2088 and 2093?
Answer:
Greatest Common Factor of 2088 and 2093 = 1
Step 1: Find the prime factorization of 2088
2088 = 2 x 2 x 2 x 3 x 3 x 29
Step 2: Find the prime factorization of 2093
2093 = 7 x 13 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 2088 and 2093 is 1